A generalization of Bang's lemma
We prove a common extension of Bang’s and Kadets’ lemmas for contact pairs, in the spirit of the Colourful Carathéodory Theorem. We also formulate a generalized version of the affine plank problem and prove it under special assumptions. In particular, we obtain a generalization of Kadets’ theorem. F...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2023
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| Sorozat: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
151 No. 3 |
| Tárgyszavak: | |
| doi: | 10.1090/proc/16228 |
| mtmt: | 32617382 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/29683 |
| Tartalmi kivonat: | We prove a common extension of Bang’s and Kadets’ lemmas for contact pairs, in the spirit of the Colourful Carathéodory Theorem. We also formulate a generalized version of the affine plank problem and prove it under special assumptions. In particular, we obtain a generalization of Kadets’ theorem. Finally, we give applications to problems regarding translative and homothetic coverings. |
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| Terjedelem/Fizikai jellemzők: | 1277-1284 |
| ISSN: | 0002-9939 |